Diffusion, convection and chemical reaction in a channel

For laminar flow between a flat conduit exact solutions of the problem of steady-state diffusion and convection are presented for constant wall concentration, constant flux across the wall and a heterogeneous chemical reaction of the first order. The initial conditions were considered to be arbitrary functions of the coordinate across the channel. The same was performed for the cases of simultaneous diffusion, convection and homogeneous chemical reaction for constant wall concentration and heterogeneous chemical reaction. The eigenvalues are presented in tables and the eigenfunctions are presented in analytical form, which contains the confluent hypergeometric function.